Answer:
1+1=2
2+2=4
4+3=7
7+4=11
so the patter is number + natural numbers (serially)
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6, 6) and (-3,3)
Answer:
[tex]\boxed {\boxed {\sf d\approx 4.2}}[/tex]
Step-by-step explanation:
The formula for distance is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Where (x₁, y) and (x₂, y₂) are the points.
We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:
x₁= -6 y₁ = 6 x₂ = -3 y₂ = 3Substitute the values into the formula.
[tex]d= \sqrt{ (-3 - -6)^2+(3-6)^2[/tex]
Solve inside the parentheses.
-3 --6 = -3+6 = 33-6 = -3[tex]d= \sqrt{(3)^2+ (-3)^2[/tex]
Solve the exponents.
(3)²= 3*3= 9 (-3)²= -3*-3 =9[tex]d= \sqrt{9+9[/tex]
Add.
[tex]d= \sqrt18[/tex]
[tex]d= 4.24264069[/tex]
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.
[tex]d \approx 4.2[/tex]
The distance between the two points is apprximately 4.2
write the equation -1/2x - 2y = -4 in slope intercept form
Answer:
y= -1/4x+2
Step-by-step explanation:
y=mx+b is the slope intercept form.
We first must isolate y by adding 1/2x on both sides.
-2y=-4+1/2x
next we multiple by -1/2 to get rid of the -2
y=2-1/4x
y=-1/4x+2
Danielle paid $5.57 for a fruit drink. She now has $27.53. How much money did she have before buying the fruit drink?
Answer:
$33.10
Step-by-step explanation:
Select the correct answer.
Which statement is true about this equation?
-9(x+ 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB.
The equation has one solution, x= 0.
O C.
The equation has no solution.
OD. The equation has infinitely many solutions.
factor m^4 + 9m^2 + 20 completely
Answer:
Step-by-step explanation:
m^2(m^2+9)+20
What should you do first in solving the quadratic equation?
x² + 18x + 81 = 25
Answer:
x= -4,-14
Step-by-step explanation:
Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.
What is the y-intercept of the line y=4x-3?
Sum of place value and face value of 5 in 75897 is
Given:
The number is 75897.
To find:
The sum of place value and face value of 5 in the given number.
Solution:
The given number is:
75897
The face value is 5 is always 5.
The number of is 5 on thousands place. So, the place value of 5 is:
[tex]5\times 1000=5000[/tex]
The sum of place value and face value of 5 in the given number is:
[tex]5000+5=5005[/tex]
Therefore, the sum of place value and face value of 5 in the given number is 5005.
ABCD is a parallelogram. Which statements are true?
Answer:
Final Answer: Statements 1, 2 and 4 are correct.
Step-by-step explanation:
Finding value of y:
2y + 3 = 15 => 2y = 12 => y = 6;
Finding value of x:
6x + 5 = 77 => 6x = 72 => x = 12;
Statement Number 1:
y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?
Yes, 36 is bigger than 24, therefore statement one is correct.
Statement 2:
x = 2y ? => 12 = 2 * 6? => 12 = 12?
Yes, 12 is equal to 12. Statement 2 is correct.
Statement 3:
x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?
No, 14 is not equal to 16. Statement 3 is incorrect.
Statement 4:
y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?
Yes, 10 is bigger than 8. Statement 4 is correct.
If this helped you please rate
Final Answer: Statements 1, 2 and 4 are correct.
The time it takes to travel a fixed distance varies inversely with the speed
traveled. If it takes Pam 40 minutes to bike to her fishing spot at 9 miles per
hour, how long will it take her if she rides at 12 miles per hour?
O
30 mins
0 53 mins
22.5 mins
O 2.7 hours
Answer:
53 mins
Step-by-step explanation:
2. X 0 4 7 10 13 y -5 -5 -5 -5 -5 Domain: ______________________ Range: _______________________ Function? _______
Answer:
[tex]Domain =\{0,4,7,10,13\}[/tex]
[tex]Range = \{-5\}[/tex]
[tex]y = -5[/tex] --- function
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}x & {0} & {4} & {7} & {10} & {13} \ \\ y & {-5} & {-5} & {-5} & {-5} & {-5} \ \end{array}[/tex]
Solving (a): The domain
The x values represent the domain.
Hence, the domain is:
[tex]Domain =\{0,4,7,10,13\}[/tex]
Solving (b): The range
The y values represent the range
Hence, the range is:
[tex]Range = \{-5\}[/tex]
Solving (c): The function
By observation, we can see that for all values of x the value of y remains unchanged (-5)
Hence, the function is:
[tex]y = -5[/tex]
Johnny picked 3 pounds of strawberries. That afternoon, Johnny's sister ate 2/3 of the strawberries. How many pounds of strawberries did Johnny's sister eat?
Answer:
She ate 2 pounds
Step-by-step explanation:
(how do you eat 2 pounds of strawberries like what)
Which pair of expressions is equivalent?
Answer:
C is equivalent
Step-by-step explanation:
7/12*4/5
7*4/12*5
28/60
7/15
7/12/5/4
7/12*4/5
7*4/12*5
28/60
7/15
another one plz help
Answer:
the answer is the 3rd one
Pls help, this question has been bugging me for a while.
Answer:
Step-by-step explanation:
The square length of hypotenus (the side lenght that sees 90 degrees) is equal to sum of square length of side lengths
Let x represent the missing side
6^2 = 4^2 + x^2
36 = 16 + x^2 subtract 16 from both sides
20 = x^2 and x = 2[tex]\sqrt{5}[/tex]
Plsss help I will mark brainlist plsss help fast
Answer:
C.
Step-by-step explanation:
The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.
Consider a circle centered at C(0,0). If the point P(3,5) lies on the circle, then which of the following points also lies on the circle?
A. (-2,6)
B. (6,-[tex]\sqrt{5}[/tex])
C. (1,[tex]\sqrt{33}[/tex])
D. (-2[tex]\sqrt{2}[/tex],4)
Answer:
C
Step-by-step explanation:
First find the equation of the circle
the general formula for a circle (x-h)² + (y-k)² = r² where (h=0, k=0) are the coordinates of the center and r is the radius that we do not know
the distance between the center (0, 0) and the point (3,5) is the radius
distance formula d² = (x2-x1)² +(y2-y1)² where (x1=0,y1=0) and (x2=3, y2=5)
d² = (3-0)² + (5-0)² = 3² +5² = 9+ 25 = 34 =r²
(x-0)² + (y-0)² = 34 ; x²+y² =34 is the equation of the circle
Second check if any of the points are on the circle by substituting x and y with de given coordinates.
A. for (-2, 6) we have (-2)²+6² =34 so 4+36 =34 false
B. for (6, -√5) we have 6²+(-√5)² =34 so 36+5=34 false
C. for (1, √33) we have 1²+(√33)² =34 so 1+33 =34 true
D. for (-2√2, 4) we have (-2√2)²+4² =34 so 8+16=34 false
[tex]\frac{3}{4}x-1\frac{5}{8}-2\frac{3}{4}[/tex]
The measure of arc CD is 175°. Determine the measure of DBC.
1) 350 2) 87.5 3) 5 4) 175
Answer:
∠ DBC = 87.5°
Step-by-step explanation:
The inscribed angle DBC is half the measure of its intercepted arc, then
∠ DBC = [tex]\frac{1}{2}[/tex] CD = 0.5 × 175° = 87.5°
What is the value of the expression below
1/4
÷
8
Answer:
1/32
Step-by-step explanation:
1/4 divided by 8
1/4 x 1/8
=1/32
How many different 5-digit numbers can you write using each of the digits 0, 1, 2, 3, 4 exactly once?
Answer:
96
Step-by-step explanation:
To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.
Step 1:
1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.
Step 2:
2nd digit = 4 choices.
Step 3:
3rd digit = 3 choices
Step 4:
4th digit = 2 choices
Step 5:
5th digit = 1 choice .
So the number of different 5 digit number is 4*4*3*2*1 = 96
if I have a 68% overall and I get a A+ on a final exam that is worth 20% of my grade what would my grade be? There is 86 questions on the final
Answer:
i guess your new grade would be 88%. If you past 100%, you might pass for that grade. Even if you get a 90%, you'll still be able to pass.
Step-by-step explanation:
The difference between two positive numbers is 7 and the difference between thes
cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
find the value of 'A-B'.
The difference between two positive numbers is 7 and the difference between these cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
To Find :-A - BSolution :-So,
Let the number be n and m
A = n × m = nm
B = n² + m² = (n + m)²
Now
n³ - m³ = 805
(n - m) (n² + m² + nm) = 805
Since difference is 7
7 × n² + m² + nm = 805
n² + m² + nm = 805/7
n² + m² + nm = 115
(n² + n) + (m² + m) = 115
A + B = 115
Now
On squaring the first eq.
(n - m)² = (7)²
(n - m)² = 49
B - 2A = 49
Now
A + B - B + 2A = 115 - 49
A + 2A = 66
3A = 66
A = 66/3
A = 22
By using 2
B - 2(22) = 49
B - 44 = 49
B = 49 + 44
B = 93
A - B = 22 - 93 = -71
[tex]\bold{ A-B=-71 }[/tex]
PLS IS NEEDED PLS HELP!!
Answer: 19°
Step-by-step explanation: 90+71= 161
180-161= 19
(correct me if i’m wrong):)
Why are these two figures simaliar
Answer:
Se parecen porque son proporcionales.
Step-by-step explanation:
Si le das vuelta a la figura pequeña de manera que quede en forma horizontal, la figura es la misma, solo cambia el tamaño.
Please help
11.5 gal
= qt
Answer:
46
Step-by-step explanation:
1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2
44+2=46
Please help me what is the answer I need help fast
the first step is to convert the diameter into a radius measure by using the formula d=2r
when we solve the formula the radius is calculated to be 1.5
use the surface area formula above and your height and radius measurement to find out the area of sheet metal you would need.
2pi(1.5)^2+2pi(1.5)(5)
using 3.14 for pi this equates to 61.23in^2
PLEASE HELP!!! I’ll give brainlest
James goes out to eat with Janet, and their meal costs $68. There is a sales tax of 7% and Janet wants to leave a 20% tip. How much money will Janet spend on the entire meal?
Answer:
$86.36
Step-by-step explanation:
Tax: 7%, or 0.07
Tip: 20%, or 0.2
Substitute the values:
Tip: 68 * 0.07 = 4.76
Tip: 68 * 0.2 = 13.6
Just the meal cost: 1 * 68 = 68
Add these all together
4.76 + 13.6 + 68 = 86.36
Thus, the total cost of the meal would be $86.36
Trigonometric ratios, Side length. 15 points AND brainliest.
Answer:
Side GI= 2
Step-by-step explanation:
Photo attached, used SOH CAH TOA method.